Im a big fan of Hawks too. Ive seen several of his films, but not all of them of course. My favorites are: Scarface, Bringing Up Baby, His Girl Friday, The Big Sleep, The Thing From Another World, Red River, Rio Bravo, El Dorado, Mans Favorite Sport?, Hatari, Red Line 7000, Rio Lobo.
Rio Bravo is one of my all time favorite films. Ive seen it probably 100 times and I still could watch it again and again. Its pretty much a perfect film. Not to mention an excellent Western.
I love Bringing Up Baby and Mans Favorite Sport as far as his screwball comedies go. They are just hilarious.